$tg\frac{3x}{2}=0\\\frac{3x}{2}=\pi n\\x=\frac{2\pi n}{3}, \; n\in Z;\\\\
cos(5x+\frac{\pi}{6})=1\\5x+\frac{\pi}{6}=2\pi n\\5x=2\pi n-\frac{\pi}{6}\\x=\frac{2\pi n}{5}-\frac{\pi}{30}, \; n\in Z$

0 0

3 года назад

4(a-1)^2 +(a-2)(6-a)-135(a-4)^2 - (a-4)(7-a)-18a+6

elfyonok [7]

4(a²-2a+1)+6a-a²-12+2a-13= 4a²-8a+4+6a-a²-12+2a-13= 3a²-21

5(a²-8a+16)-7a+a²+28-4a-18a+6= 5a²-40a+80-7a+a²+28-4a-18a+6= 6a²-69a+114

0 0

4 года назад

Помогите пожалуйста! (2у^2-х^3). Нужно разложить на множники

Чучо

y = -x^(3/2)/sqrt(2)

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y = x^(3/2)/sqrt(2)

Polynomial discriminant:

Δ_x = -108 y^4

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Integer roots:

x = 2, y = ± 2

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x = 8, y = ± 16

x = 18, y = ± 54

x = 0, y = 0

Properties as a function:Domain:

R^2

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Range:

R (all real numbers)

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Partial derivatives:Step-by-step solution

d/(dx)(2 y^2 - x^3) = -3 x^2

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d/(dy)(2 y^2 - x^3) = 4 y

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Indefinite integral:Step-by-step solution

integral(-x^3 + 2 y^2) dx = 2 x y^2 - x^4/4 + constant

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Definite integral over a disk of radius R:

integral integral_(x^2 + y^2<R^2)(2 y^2 - x^3) dx dy = (π R^4)/2

Definite integral over a square of edge length 2 L:

integral_(-L)^L integral_(-L)^L (-x^3 + 2 y^2) dy dx = (8 L^4)/3

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понял?

0 0

3 года назад